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Finding the Fourth Proportional to 20,094.28, 27,734.50 and 11,144.89

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Solution

The fourth proportional to 20,094.28, 27,734.50 and 11,144.89 is: 15,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.28 : 27,734.50 = 11,144.89 : x
  2. Step 2: Convert to fraction form
    20,094.28/27,734.50 = 11,144.89/x
  3. Step 3: Cross multiply
    20,094.28x = 27,734.50 × 11,144.89
  4. Step 4: Simplify right side
    20,094.28x = 309,098,000.30
  5. Step 5: Solve for x
    x = 309,098,000.30/20,094.28
  6. Step 6: Final answer
    x = 15,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.